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Finding the Fourth Proportional to 645.53, 967.07 and 428.65

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Solution

The fourth proportional to 645.53, 967.07 and 428.65 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.53 : 967.07 = 428.65 : x
  2. Step 2: Convert to fraction form
    645.53/967.07 = 428.65/x
  3. Step 3: Cross multiply
    645.53x = 967.07 × 428.65
  4. Step 4: Simplify right side
    645.53x = 414,533.21
  5. Step 5: Solve for x
    x = 414,533.21/645.53
  6. Step 6: Final answer
    x = 642.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.